Question

help pleaseeeee :)
1. Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}.

What is A ∩ B?


2.Let set C = {1, 2, 3, 4, 5, 6, 7, 8} and set D = {2, 4, 6, 8}

Which notation shows the relationship between set C and set D?

Answer 1

1. If it is intersection then it SHOULD be included in both the sets right?
Now we know that odd numbers from 1-100 but the second set are multiples of 5 from 50-150! So we mainly need to look for common numbers which are ODD and are a MULTIPLE OF 5 BETWEEN 50 - 100!!
So
A={51,53,57,59,61......99}
B={55,60,65,70.......95} [We stop till 100 because set A has no such element]
So what is A ∩ B here?
A ∩ B = {All odd numbers and multiples of 5 between 50 - 100}


2. If we see here, D has all the elements which ARE in C!!
So can we not say that D is a subset of C? :)
Understood both of them? :)

Answer 2

got it! thank you :)

Answer 3

:)